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## PowerPoint Slideshow about ' Mathematics in Science' - martin-cross

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Mathematics in Science

Essential Question:

- How do scientists use math in science?
Objectives:

1) Describe what math skills scientists use in collecting data and making measurements

2) Identify the math skills scientists use to analyze their data.

Estimation

What is the difference between estimation and guessing?

Why do scientists use estimation?

Example

- An approximation of a number based on reasonable assumptions.
- An estimate is based on known information ; guessing is an opinion based on little or no evidence
- Scientists must use estimation when they cannot obtain exact numbers
- How would you estimate the number of students in this school?
- One way: count the number of students in one class, and multiply that number by the number of classes in the school
- 35 students in one class x 30 classes = 1050 students

Accuracy vs. Precision

Accuracy

Precision

Accuracy and precision in measurements

How do you make measurements accurate and precise?

How close a measurement is to the true or accepted value

Example: a clock reading 4:00 pm when the actual time is 4:00 pm

How close a group of measurements are to each other

Example: a friend’s clocks are always 15 minutes late- the clocks are precise to each other

Both accuracy and precision are important when making measurements

Use a high quality measurement tool

Make measurements carefully

Repeat the measurement a few times

Accuracy vs. Precision

Percent Error

Equation

Example

What do the percentages mean?

Percent error calculations determine how accurate or close to the true value, an experimental value really is.

A low percent error means your measurements are very accurate. A high percent error means your measurements are not very accurate.

Tanya measured the mass of an object to be 187 g. The object’s actual mass was 170 g. What is Tanya’s percent error?

Difference between experimental value and true value

True value

Difference between experimental value and true value

True value

Percent error=

Percent error=

X 100%

X 100%

Percent error=

187 g – 170 g

170 g

X 100%

Percent error = 10%

Summary

Answer the essential question and the objectives. Make sure to use complete sentences.

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